To solve this system, you could do the following steps: 3x+4y=48 6x+2y=60 (6 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 1. Choose the best method to solve by looking at the way the equations are set up for you: Response area 2. Using the best method, how could you get the x variables to cancel out? Response area 3. After you complete step 2, what would your top equation be? Response area 4. Line them up and add the equations together to get this equation. Response area 5. Solve for y. Response area 6. Solve for x. Response area Choose a method Operation to get the x variables to cancel Simplified top equation After adding the equations Solve for x and y Skip to navigation page 5 of 5
27 answers
- The best method to solve this system of equations is by using the elimination method.
2. Using the best method, how could you get the x variables to cancel out?
- Multiply the first equation by 2 and the second equation by 3 to make the coefficients of the x terms in both equations equal.
3. After you complete step 2, what would your top equation be?
- The top equation would be: 6x + 8y = 96
4. Line them up and add the equations together to get this equation.
- The addition of the adjusted equations results in: 6x + 8y + 6x + 2y = 96 + 60
5. Solve for y.
- Combining like terms, we get: 12x + 10y = 156
- Subtract 12x from both sides: 10y = 156 - 12x
- Divide both sides by 10: y = (156 - 12x) / 10
6. Solve for x.
- Substitute the value of y from the previous step into either of the original equations. Let's use the first equation: 3x + 4((156 - 12x) / 10) = 48
- Simplify and solve for x:
3x + (624 - 48x) / 10 = 48
Multiply both sides by 10 to eliminate the fraction: 30x + 624 - 48x = 480
Combine like terms: -18x + 624 = 480
Subtract 624 from both sides: -18x = -144
Divide both sides by -18: x = 8
So, the solution to the system of equations is x = 8 and y = (156 - 12(8)) / 10, which simplifies to y = 3.
4. Line them up and add the equations together to get this equation.
Line up the two equations and add them together:
(6x + 8y) + (18x + 6y) = (96 + 180)
Simplifying the equation gives us:
24x + 14y = 276
4. Line them up and add the equations together to get this equation.
Line up the two equations and add them vertically to eliminate the x variable:
(3x + 4y) + (6x + 2y) = (48 + 60)
Simplifying the equation gives us:
9x + 6y = 108
4. Line them up and add the equations together to get this equation.
Line up the two equations and add them vertically to eliminate the x variable:
(3x + 4y) + (6x + 2y) = (48 + 60)
Simplifying the equation gives us:
9x + 6y = 108
4. Line them up and add the equations together to get this equation.
(3x + 4y) + (6x + 2y) = (48 + 60)
Combining like terms, we get:
9x + 6y = 108
So, after adding the equations together, we have the equation 9x + 6y = 108.
4. Line them up and add the equations together to get this equation.
(3x + 4y) + (6x + 2y) = (48 + 60)
Combining like terms, we get:
9x + 6y = 108
4. Line them up and add the equations together to get this equation.
(3x + 4y) + (6x + 2y) = (48 + 60)
Combining like terms, we get:
3x + 6x + 4y + 2y = 48 + 60
Simplifying the equation gives us:
9x + 6y = 108
9x + 6y = 108 isn't a equation it cant be a equation
4. Line them up and add the equations together to get this equation.
(3x + 4y) + (6x + 2y) = (48 + 60)
Combining like terms, we get:
9x + 6y = 108
4. Line them up and add the equations together to get this equation.
(3x + 4y) + (6x + 2y) = (48 + 60)
Combining like terms, we get:
9x + 6y = 108
So, the correct equation after adding is 9x + 6y = 108.
4. Line them up and add the equations together to get this equation.
(3x + 4y) + (6x + 2y) = (48 + 60)
Combining like terms, we get:
9x + 6y = 108
4. Line them up and add the equations together to get this equation.
9x + 6y = 108
To simplify this equation, we can divide all terms by 3:
3(3x + 2y) = 3(36)
Simplifying further gives:
3x + 2y = 36
Therefore, the correct answer after adding the equations together is 3x + 2y = 36.
4. Line them up and add the equations together to get this equation.
9x + 6y = 108
Let's substitute the given options into this equation and see which one is true.
a) -6y = -36:
This option does not match the equation we have after adding the equations together.
b) 8y = 96:
This option does not match the equation we have after adding the equations together.
c) 6y = -96:
This option does not match the equation we have after adding the equations together.
d) -8y = -96:
This option matches the equation we have after adding the equations together (9x + 6y = 108).
Therefore, the correct option for question 4 is: -8y = -96.
4. Line them up and add the equations together to get this equation.
9x + 6y = 108
Let's substitute the given options into this equation and check which one is true.
a) -6y = -36:
This equation does not match the equation we have after adding the equations together.
b) 8y = 96:
This equation does not match the equation we have after adding the equations together.
c) 6y = -96:
This equation does not match the equation we have after adding the equations together.
d) -8y = -96:
This equation matches the equation we have after adding the equations together (9x + 6y = 108).
Therefore, based on the provided options, the correct answer for question 4 is: -8y = -96.